What is the Greatest Common Factor of 12928 and 12947?

Greatest common factor (GCF) of 12928 and 12947 is 1.

GCF(12928,12947) = 1

We will now calculate the prime factors of 12928 and 12947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12928 and 12947.

How to find the GCF of 12928 and 12947?

We will first find the prime factorization of 12928 and 12947. After we will calculate the factors of 12928 and 12947 and find the biggest common factor number .

Step-1: Prime Factorization of 12928

Prime factors of 12928 are 2, 101. Prime factorization of 12928 in exponential form is:

12928 = 2⁷ × 101¹

Step-2: Prime Factorization of 12947

Prime factors of 12947 are 11, 107. Prime factorization of 12947 in exponential form is:

12947 = 11² × 107¹

Step-3: Factors of 12928

List of positive integer factors of 12928 that divides 12928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 128, 202, 404, 808, 1616, 3232, 6464

Step-4: Factors of 12947

List of positive integer factors of 12947 that divides 12928 without a remainder.

1, 11, 107, 121, 1177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12928 and 12947. The biggest common factor number is the GCF number.
So the greatest common factor 12928 and 12947 is 1.

Also check out the Least Common Multiple of 12928 and 12947